Supersymmetric products for SUSY curves

  1. J. A. Domínguez Pérez 1
  2. D. Hernández Ruipérez 1
  3. C. Sancho Salas 1
  1. 1 Departamento de Matemáticas, Universidad de Salamanca
Libro:
Differential geometric methods in theoretical physics : proceedings of the 19th International Conference held in Rapallo, Italy, 19-24 June 1990
  1. C. Bartocci (ed. lit.)
  2. U. Bruzzo (ed. lit.)
  3. R. Cianci (ed. lit.)

Editorial: Springer

ISBN: 3540537635,  0387537635

Año de publicación: 1991

Páginas: 271-285

Tipo: Capítulo de Libro

DOI: 10.1007/3-540-53763-5_65 GOOGLE SCHOLAR

Resumen

The supersymmetric product of a SUSY-curve over a field is constructed with the aid of a theorem of invariants, and the notion of relative superdivisor is introduced. A universal superdivisor is defined in the supersymmetric product by means of Manin's superdiagonal, and it is proven that every superdivisor can be obtained in a unique way as a pullback of the universal superdivisor.